Answer: Option (D) is correct.
Step-by-step explanation: Given that PQRS is a rectangle in the figure. We are to select the statement which is not necessarily true.
We know that, in a RECTANGLE,
(i) Opposite sides are parallel and congruent,
(ii) Each angle is a right angle (90°).
Since PQRS is a rectangle, so we have
PQ ║ RS, PQ ≅ RS,
PS ║ QR, PS ≅ QR,
m∠P = m∠Q = m∠R = m∠S = 90°.
So, statements (A), (B) and (C) are correct.
The adjacent sides of a rectangle may not be congruent, so PQ may not be congruent to RS.
Thus, statement PQ ≅ RS is not necessarily TRUE.
Option (D) is correct.
